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Q: The product of two rational numbers is always a rational number?

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The product of two rational numbers is always a rational number.

The product of two rational number is always rational.

yes

The product of two rational numbers is always a rational number.

No, and I can prove it: -- The product of two rational numbers is always a rational number. -- If the two numbers happen to be the same number, then it's the square root of their product. -- Remember ... the product of two rational numbers is always a rational number. -- So the square of a rational number is always a rational number. -- So the square root of an irrational number can't be a rational number (because its square would be rational etc.).

no x² is the product of 2 rational numbers in this case the same 2 numbers x and x The product of two rational numbers is always rational.

Yes, the product of two rational numbers is always a rational number.

A rational number in essence is any number that can be expressed as a fraction of integers (i.e. repeating decimal). Taking the product of any number of rational numbers will always yield another rational number.

The product will also be a rational number

It is a rational number.

It is a rational number.

Another rational number.

The product of a rational and irrational number can be rational if the rational is 0. Otherwise it is always irrational.

The product is a rational number.

No. 0 is a rational number and the product of 0 and any irrational number will be 0, a rational. Otherwise, though, the product will always be irrational.

It is always rational.

Yes, it is.

No.A rational times an irrational is never rational. It is always irrational.

The product of two rational numbers, as in this example, is always RATIONAL.However, if you mean 10 x pi, pi is irrational; the product of a rational and an irrational number is ALWAYS IRRATIONAL, except for the special case in which the rational number is zero.

Actually the product of a nonzero rational number and another rational number will always be rational.The product of a nonzero rational number and an IRrational number will always be irrational. (You have to include the "nonzero" caveat because zero times an irrational number is zero, which is rational)

A rational number can be stated in the form a/b where and b are integers. Adding or multiplying such numbers always gives another number that can be expressed in this form also. So it is also rational.

Such a product is always irrational - unless the rational number happens to be zero.

No,, not always. Rational numbers are numbers that can be written as a fraction. Irrational numbers cannot be expressed as a fraction.

In any case, being the product of two rational numbers, it will also be rational. It can either be another mixed number, or it may happen to be an integer.

Provided that the rational number is not 0, the product is irrational.